The ratio of electric dipole moment to magnetic dipole moment has dimensions Mᴾ $L^{q}$ TᴿAˢ. The values of P and Q are:
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Question

The ratio of electric dipole moment to magnetic dipole moment has dimensions Mᴾ L q L^{q} L q TᴿAˢ. The values of P and Q are:

G1 Physics · Accepted Answer

Electric dipole moment has dimensions [ p e ] p_e] p e ​ ] = charge×length = (AT)L = LTA. Magnetic dipole moment has dimensions [ p m ] p_m] p m ​ ] = current×area = AL². Therefore, [ p e / p m ] p_e/p_m] p e ​ / p m ​ ] = (LTA)/(AL²) = TL⁻¹. Thus the mass exponent is P = 0, and the length exponent is Q = -1. Correct option: A.